Edupanda » Mechanika budowli »  Method of forces » Frames - thermal and geometrical loads

List of examples

Example 1

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For the given frame, determine the internal force diagrams (M, N, T) for the following types of interactions:
a) Active interactions,
b) Temperature effect,
c) Settlement of supports.
For each type of interaction, use a different reference system. Perform static and displacement compatibility checks for case b and c.
Assume a specific material and cross-section.

Example 2

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Determine final charts for M, Q, and N separately for continuous loading, concentrated force, and support settlement. Perform a kinematic verification for each case.

Example 3

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Calculate M, Q, and N separately for the loads caused by support displacements, uniform and non-uniform temperature. Assume a rectangular cross-section of 0.2×0.8m. Assume E=20 GPa, installation temperature tm=10*C, and thermal expansion coefficient alpha=0.00001 1/*C.

Example 4

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Calculate M, Q, and N separately for the loads caused by support displacements, uniform and non-uniform temperature. Assume a rectangular cross-section of 0.2×0.8m. Take E=20 GPa, assembly temperature tm=10°C, and thermal expansion coefficient alpha=0.00001 1/°C.

Example 5

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Determine M, Q, N separately for the loads caused by support displacements, thermal loads due to uniform and non-uniform temperature. Assume a rectangular cross-section of 0.2×0.8m. Assume E=20 GPa, coefficient of thermal expansion alpha=0.00001 1/°C.

Example 6

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Determine M, Q, N separately for the loads
1) mechanical loads
2) caused by support displacements
3) thermal loads.
Assume cross-section IPN 200, E=200 GPa, tm=0, alpha=0.00001

Example 7

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Determine M, Q, N separately for the following loads:
1) mechanical loads
2) loads caused by support displacements
3) thermal loads.
Assume a rectangular cross-section of 0.2 × 0.2m. Assume E=20 GPa, tm=0°C, thermal expansion coefficient alpha=0.000012 1/°C.

Example 8

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Determine M, Q, and N separately for the following loads
1) mechanical loads
2) loads caused by support displacements
3) thermal loads.
Assume IPN 200 section, E=200 GPa, tm=0, alpha=0.000012